What is the 323rd prime number?
The 323rd prime number is 2141. The next prime is 2143 (a gap of 2) and the one before is 2137.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 323rd one is 2141.
- 2
2141 is prime because no prime up to ā2141 ā 46.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 323rd prime is close to 323 Ć ln(323) ā 1866, and here it is 2141.
- 4
2141 is a twin prime: 2141 and 2143 are both prime.
Primes around the 323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 320 | 2129 | 16 |
| 321 | 2131 | 2 |
| 322 | 2137 | 6 |
| 323 | 2141 | 4 |
| 324 | 2143 | 2 |
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
Questions
What is the 323rd prime number?
2141.
Which prime number is 2141?
2141 is the 323rd prime number.
What is the sum of the first 323 primes?
318,562.